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8 papers · 2 filters
Abstract Bivariant Cuntz Semigroups II
Ramon Antoine, Francesc Perera, Hannes Thiel
We previously showed that abstract Cuntz semigroups form a closed symmetric monoidal category. This automatically provides additional structure in the category, such as a compositi…
Going-Down functors and the Künneth formula for crossed products by étale groupoids
Christian Bönicke, Clément Dell'Aiera
We study the connection between the Baum-Connes conjecture for an ample groupoid with coefficient and the Künneth formula for the K-theory of tensor products by the crossed…
Free products with amalgamation over central C*-subalgebras
Kristin Courtney, Tatiana Shulman
Let A and B be C*-algebras whose quotients are all RFD, and let C be a central C*-subalgebra in both A and B. We prove that the full amalgamated free product of A and B over C is t…
The Toeplitz algebra has nuclear dimension one
Laura Brake, Wilhelm Winter
We prove the title by constructing 2-colourable completely positive approximations for the Toeplitz algebra. Besides results about nuclear dimension and completely positive contrac…
The maximal injective crossed product
Alcides Buss, Siegfried Echterhoff, Rufus Willett
A crossed product functor is said to be injective if it takes injective morphisms to injective morphisms. In this paper we show that every locally compact group admits a maxima…
A Going-Down principle for ample groupoids and the Baum-Connes conjecture
Christian Bönicke
We study a Going-Down (or restriction) principle for ample groupoids and its applications. The Going-Down principle for locally compact groups was developed by Chabert, Echterhoff…